Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four-yea
1 answer:
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Answer:
- x = 2, x = -1, x = -3
- As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation:
<u>Given function</u>
- f(x)= x^3 + 2x^2 - 5x - 6
<u>Finding zero's</u>
- x^3 + 2x^2 - 5x - 6 = 0
- x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =
- (x - 2)(x^2 + 4x + 3) =
- (x - 2)(x^2 + x + 3x + 3) =
- (x - 2)(x(x + 1) + 3(x + 3)) =
- (x - 2)(x + 1)(x + 3)
<u>Zero's are</u>
- x = 2, x = -1, x = -3
<em>See the graph attached</em>
<u>Correct end behavior as per graph:</u>
- As x approaches negative infinity, f(x) approaches negative infinity
Answer:
Option D- y > x – 2 and y < x + 1
Step-by-step explanation:
To determine : Which system of linear inequalities is represented by the graph?
Solution : First we examine the graph
The shaded region in purple is drawn using two line
The first line above the origin passing through the points (0,1) and (-1,0)
The equation of line passing through two points is
So, the equation of that line
The second line below the origin passing through the points (0,-2) and (2,0)
The equation of line passing through two points is
So, the equation of that line
Now, to check the system of inequality substitute point (x,y)=(0,0)
First equation
means
Second equation
means
Therefore, Option D is correct.
The linear inequalities of the system is y > x-2 and y < x + 1